Effect of normal mode contents in assumed deflection shapes in Rayleigh-Ritz method

Journal of Sound and Vibration

Volumn 189, Issue 3, 1996, Pages 407-419

  Bhat, R B ^a  

^a Gina Cody School of Engineering and Computer Science   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0006995990     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0027     Document Type: Editorial

References (10)

1. LORD RAYLEIGH 1894 Theory of Sound, Volume 1. London: Macmillan; second edition.
2. W. RITZ 1909 Annalen der Physik 28, 737-786, Theorie der transversal Schwingungen einer quadratischen Platte mit freien Crändern.
3. G. B. WARBURTON 1954 Proceedings of the Institute of Mechanical Engineers, Series A 168, 371-384. The vibration of rectangular plates.
4. A. W. LEISSA 1973 Journal of Sound and Vibration 31, 257-293. The free vibration of rectangular plates.
5. G. B. WARBURTON 1979 Journal of Earthquake Engineering and Structural Dynamics 1, 327-334. Response using the Rayleigh-Ritz method.
6. S. M. DICKINSON and E. K. H. LI 1982 Journal of Sound and Vibration 80, 292-297. On the use of simply supported plate functions in the Rayleigh-Ritz method applied to the vibration of rectangular plates.
7. K. VIJAYAKUMAR and G. K. RAMAIAH 1978 Journal of Sound and Vibration 56, 127-135. Analysis of vibration of clamped square plates by the Rayleigh-Ritz method with asymptotic solutions from a modified Bolotin approach.
8. R. B. BHAT 1985 Journal of Sound and Vibration 102, 493-499. Natural frequencies of rectangular plates using characteristic orthogonal polynomials in the Rayleigh-Ritz method.
9. R. B. BHAT, J. SINGH and G. MUNDKUR 1993 Transactions of the American Society of Mechanical Engineers, Journal of Vibration and Acoustics 115, 177-181. Plate characteristic functions and natural frequencies of vibration of plates by iterative reduction of partial differential equation.
10. R. B. BHAT and G. MUNDKUR 1992 Journal of Sound and Vibration 159, 157-171. Vibration of plates using plate characteristic functions obtained by reduction of partial differential equations.